The figure shows the displacement of a particle moving along the $X-$axis as a function of time. The force acting on the particle is zero in the region:

The speed-time graph of a particle moving along a fixed direction is shown in the figure. Obtain the distance traversed by the particle in $m$ between $t=2\;s$ to $6\;s$.

The acceleration-time graph of a body is shown below. The most probable velocity-time graph of the body is:

$A$ ball is thrown vertically upwards. Which of the following graphs represents the velocity-time graph of the ball during its flight (air resistance is neglected)?

$A$ particle of unit mass undergoes one-dimensional motion such that its velocity varies according to $v(x) = \beta x^{-2n}$,where $\beta$ and $n$ are constants and $x$ is the position of the particle. The acceleration of the particle as a function of $x$ is given by:

If a steel ball is dropped from a height onto a marble floor,what will the velocity-time graph look like?